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How many possible rational roots are the...

How many possible rational roots are there for `2x^(4)+4x^(3)-6x^(2)+15x-12=0`?

A

4

B

6

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
D
Rational roots have the form `(p)/(q)`, where p is a factor of 12 and q is a factor of 2.
`(p)/(q) in{+-12,+-6,+-4,+-3,+-2,+-1,+-(3)/(2),+-(1)/(2)}`. The total is 16.
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